Theory of regular economies / Ryo Nagata.

Format:

Book

Author/Creator:

Nagata, Ryō, 1950-

Series:

Series on mathematical economics and game theory ; 1.

Series on mathematical economics and game theory ; 1

Language:

English

Subjects (All):

Economics, Mathematical.

Economics--Methodology.

Economics.

Physical Description:

1 online resource (235 p.)

Edition:

1st ed.

Place of Publication:

River Edge, NJ : World Scientific, c2004.

Language Note:

English

Summary:

This book presents a comprehensive treatment of the theory of regular economies, which is one of the most advanced topics in modern general equilibrium theory, emphasizing the basic ideas, the tools and the important applications. Although many notions and tools of differential topology are required to understand the theory, the author chooses a minimum of them and heuristically arranges them; that is, instead of lumping together all the necessary mathematics, the author puts at the beginning of each chapter the minimum mathematics required for the economic analysis of the chapter, so that th

Contents:

""Contents ""; ""Preface ""; ""Introduction ""; ""Part 1 Foundations of Regular Economies ""; ""1. What Is a Regular Economy? ""; ""1.1 Mathematical Preliminaries ""; ""1.1.1 Manifolds and Tangent Spaces ""; ""1.1.2 Differentiable Maps and Their Derivatives ""; ""1.1.3 Regular Values ""

""1.2 Economical Analysis """"1.2.1 Basic Model ""; ""1.2.2 The Space of Economies ""; ""1.2.3 Regular Economies ""; ""2. Regular Economies and Genericity ""; ""2.1 Mathematical Preliminaries ""; ""2.1.1 Preimage Theorem ""; ""2.1.2 Lebesgue Measure Zero ""; ""2.1.3 Sard's Theorem ""

""2.1.4 Genericity """"2.2 Economical Analysis ""; ""2.2.1 Regular Economies and Genericity ""; ""2.2.2 Local Uniqueness of Equilibria as a Generic Property ""; ""2.2.3 Finiteness of Equilibria as a Generic Property ""; ""3. Formalization of Regular Economies ""; ""3.1 Mathematical Preliminaries ""

""3.1.1 Fibre Bundles """"3.1.2 Vector Bundles ""; ""3.1.3 Family of Maps ""; ""3.2 Economical Analysis ""; ""3.2.1 Equilibrium Manifold and Regular Economies ""; ""3.2.2 Local Uniqueness and Finiteness of Equilibria in the General Formalization ""

""3.2.3 Dependence of Equilibria on Regular Economies in the General Formalization """"3.2.4 Specific Characterization of Regular Economies in the General Formalization ""; ""4. The Number of Equilibria in Regular Economies ""; ""4.1 Mathematical Preliminaries ""; ""4.1.1 Modulo 2 Degree ""

""4.1.2 Manifolds with Boundary ""

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 205-211) and index.

ISBN:

9786611934651

9781281934659

1281934658

9789812794765

981279476X

OCLC:

879023820